Question

A thin uniform rod of mass 'm' and length 'l' is suspended from one end which can oscillate in a vertical plane about the point of intersection. It is pulled to one side and then released. It passes through the equilibrium position with angular speed '$\omega$'. The kinetic energy while passing through mean position is

• A. $ml^{2}\omega^{2}$
• B. $\frac{ml^{2}\omega^{2}}{4}$
• C. $\frac{ml^{2}\omega^{2}}{6}$
• D. $\frac{ml^{2}\omega^{2}}{12}$

Hint:

Physics Tip: Be careful with the axis of rotation! If the rod were rotating about its center, $I$ would be $ml^2/12$. Since it's suspended from one end, we use $ml^2/3$.

Answer 1

The Correct Option is C